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Finding the Fourth Proportional to 30,714.53, 42,399.14 and 20,648.81

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Solution

The fourth proportional to 30,714.53, 42,399.14 and 20,648.81 is: 28,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.53 : 42,399.14 = 20,648.81 : x
  2. Step 2: Convert to fraction form
    30,714.53/42,399.14 = 20,648.81/x
  3. Step 3: Cross multiply
    30,714.53x = 42,399.14 × 20,648.81
  4. Step 4: Simplify right side
    30,714.53x = 875,491,788.78
  5. Step 5: Solve for x
    x = 875,491,788.78/30,714.53
  6. Step 6: Final answer
    x = 28,504.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.